ttweed said:
it boils down to what evnow says in the
original "comprehensive lease/buy thread--"
The key takeaway is that lease vs buy comes down to
- Extra fees you pay for leasing (Acquisition of 595 and disposition of 350)
- Difference between the 4.9% offered by Nissan and the interest rate offered by your lender."
I agree with a couple variations:
The disposition fee only applies if you return the car, not if you buy it at lease end.
If you are not financing in the purchase scenario, compare your discount rate with the 4.9% lease interest rate.
When leasing you end up paying sales tax on the acquisition fee and the lease interest. :-(
ttweed said:
I can easily manipulate my income tax level for this year by converting IRA funds to Roth IRA and get the full credit, so that isn't an issue for me.
That's true as long as you intend to covert the requisite amount of funds anyway and converting extra won't bump you up into a higher tax bracket. If it will, the extra tax is an additional cost for the purchase side of the comparison.
ttweed said:
First year costs
Lease: $6,886.53 [includes 12 payments, the first as part of the $2K]
Purchase: $19,132.39 [includes 11 payments]
Second year costs
Lease: $5,342.76
Purchase: $11,189.88 [after deducting $7500]
Third year costs
Lease: $5,342.76
Purchase: $1,557.49 [final payment on loan]
I would just include the residual and sales tax on the residual in the third year costs.
ttweed said:
Using a 2% discount (or lost opportunity cost on my money), I can calculate the following now:
First year-- I lose 2% of $12,245 front-loaded payments, or $245
2nd year-- I lose 2% of $5847 on front-loaded payments, or $117
3rd year-- I actually gain $76, since the lease payments are greater than the loan payments in the 3rd year.
So the net difference up to the end of the lease period is $286, taking into account the time value of money.
This isn't quite right. If you are going to count this way, then in the 2nd year, you lose 2% of the total net front-loading so far, or $12,245 + $5,847, and in the 3rd year you lose 2% of the total net front loading at that point. Also you need to keep track of when the payments occur during the year, so for equal monthly payments you lose on average only six months of time value of the money.
ttweed said:
I would actually need to add the time value of waiting for the $7500 credit, as you mentioned previously, but since I can reduce my withholding to start receiving this benefit monthly, that actually amounts to $82 (not $150)
Actually, by including it as a lower loan payment in year 2, you have already account for the time value of it.
ttweed said:
Ya, I could pay off the residual for cash, just as I could pay cash for the car to begin with, but that would not be a fair "apples to apples" comparison in this scenario. I really need to add this cost to be consistent, since in the "buy" scenario the car is financed 100% and paid for after two years, but in the lease scenario I still owe $15,500 on it (plus sales tax) that would still need to be financed to keep things level.
No, that's not right. Remember you are trying to compute the penalty for the front loading of the purchase scenario. I.e. if your purchase scenario is the base scenario, then as an alternate you lease but have the money available at the same schedule as in the purchasing scenario. When the lease payment is less than the money you would have had to pay in the buying scenario, you effectively are banking that excess at 2% until you need it. So the time value of money you are calculating is the interest you would earn on that accruing money. At the end of the lease you use that banked money to pay off the residual, and it stops accruing interest, i.e. the lease scenario has caught up to the buy scenario and there is no more front-loading. You don't need to finance the residual.
So given all this, here is how to count using the numbers from Omkar's lease and a 2% discount rate:
Purchase: $2,000 down + 24 months of $1,557.50 - $7,500 after 12 months, simple total = $31,880
Lease: $2,000 down + 35 month of $445 + $16,943 residual plus tax = $34520
The simple difference is $2,640. [Note earlier in the thread it was $3,040, but the disposition fee was incorrectly included.] But as discussed this total is only realistic if your discount rate is 0%, e.g. if you keep a pile of cash under your mattress.
To compute the time value of money let's take the difference between the two payment streams, consider a virtual bank account that has those amounts added to it each month for the 36 months, and then calculate the interest it would earn. This is the benefit of the back-loading of the lease scenario or cost of the front-loading of the buy scenario.
Difference: $0 down + 11 months of $1,112 + 1 month of (-$6,388) +12 months of $1,112 + 11 months of (-$445) + 1 month of (-$16,943), simple total is -$2,650.
Year 1 start balance = $0, end balance = $12 * $1,112 = $13,344, interest using average balance is $133.
Tax credit at year end, deduct $7,500
Year 2 start balance = $5,844, end balance = $5,844 + $13,344 = $19,188, interest using average balance is $250.
Year 3 start balance = $19,188, end balance is $13848, interest using average balance is $330.
[I shifted some of the timing here by 1 month to keep it in blocks of 12 months for simplicity.] Total time value of money is $713, so the lease premium is actually about $1,900 for this comparison.
Cheers, Wayne